PDE and applications: Power substitution in quasianalytic Carleman classes
- Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
- Lecturer: Avner Kiro, Tel Aviv
- Contact person: Kaj Nyström
Abstract: In this talk, I will consider power substitutions in quasianalytic Carleman classes, i.e. equations of the form f(x)=g(x^k), where k>1 is an integer and f is a given function in a quasianalytic Carleman class. I will show that if g happens to be a smooth function, then g belongs to a quasianalytic class completely characterized in terms of bounds on the derivatives of g. The talk is based on joint work with L Buhovski and S. Sodin.